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Factors promoting or inhibiting Turing instability in spatially extended prey–predator systems

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  • Fasani, Stefano
  • Rinaldi, Sergio

Abstract

The emergence of inhomogeneities in the distributions of the abundances of spatially extended prey–predator systems is investigated. The method of analysis, based on the notion of diffusive (Turing) instability, is systematically applied to nine different models obtained by introducing an extra-factor into the standard Rosenzweig–MacArthur prey–predator model. The analysis confirms that the standard model is critical in the context of Turing instability, and that the introduction of any small amount of the extra-factor can easily promote or inhibit the emergence of spatial patterns.

Suggested Citation

  • Fasani, Stefano & Rinaldi, Sergio, 2011. "Factors promoting or inhibiting Turing instability in spatially extended prey–predator systems," Ecological Modelling, Elsevier, vol. 222(18), pages 3449-3452.
    • Handle: RePEc:eee:ecomod:v:222:y:2011:i:18:p:3449-3452
    DOI: 10.1016/j.ecolmodel.2011.07.002
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    References listed on IDEAS

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    1. Sun, Gui-Quan & Jin, Zhen & Liu, Quan-Xing & Li, Li, 2008. "Dynamical complexity of a spatial predator–prey model with migration," Ecological Modelling, Elsevier, vol. 219(1), pages 248-255.
    2. Wang, Weiming & Zhang, Lei & Wang, Hailing & Li, Zhenqing, 2010. "Pattern formation of a predator–prey system with Ivlev-type functional response," Ecological Modelling, Elsevier, vol. 221(2), pages 131-140.
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    Cited by:

    1. Banerjee, Malay & Zhang, Lai, 2014. "Influence of discrete delay on pattern formation in a ratio-dependent prey–predator model," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 73-81.
    2. Malay Banerjee & Nayana Mukherjee & Vitaly Volpert, 2018. "Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey," Mathematics, MDPI, vol. 6(3), pages 1-13, March.
    3. Della Rossa, Fabio & Fasani, Stefano & Rinaldi, Sergio, 2013. "Conditions for patchiness in plankton models," Theoretical Population Biology, Elsevier, vol. 83(C), pages 95-100.

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